Search a number
-
+
44414441100 = 22335237444589
BaseRepresentation
bin101001010111010011…
…101001011010001100
311020122022121101021000
4221113103221122030
51211430044103400
632223111340300
73131426343321
oct512723513214
9136568541230
1044414441100
1117921880a77
128736381690
13425a8006a3
1422149a4b48
15124e324600
hexa574e968c

44414441100 has 144 divisors (see below), whose sum is σ = 146643565600. Its totient is φ = 11523720960.

The previous prime is 44414441081. The next prime is 44414441107. The reversal of 44414441100 is 114441444.

44414441100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44414441107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122395 + ... + 322194.

Almost surely, 244414441100 is an apocalyptic number.

It is an amenable number.

44414441100 is an abundant number, since it is smaller than the sum of its proper divisors (102229124500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44414441100 is a wasteful number, since it uses less digits than its factorization.

44414441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444649 (or 444636 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 44414441100 its reverse (114441444), we get a palindrome (44528882544).

The spelling of 44414441100 in words is "forty-four billion, four hundred fourteen million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 37 45 50 54 60 74 75 90 100 108 111 135 148 150 180 185 222 225 270 300 333 370 444 450 540 555 666 675 740 900 925 999 1110 1332 1350 1665 1850 1998 2220 2700 2775 3330 3700 3996 4995 5550 6660 8325 9990 11100 16650 19980 24975 33300 49950 99900 444589 889178 1333767 1778356 2222945 2667534 4001301 4445890 5335068 6668835 8002602 8891780 11114725 12003903 13337670 16005204 16449793 20006505 22229450 24007806 26675340 32899586 33344175 40013010 44458900 48015612 49349379 60019515 65799172 66688350 80026020 82248965 98698758 100032525 120039030 133376700 148048137 164497930 197397516 200065050 240078060 246746895 296096274 300097575 328995860 400130100 411244825 444144411 493493790 592192548 600195150 740240685 822489650 888288822 986987580 1200390300 1233734475 1480481370 1644979300 1776577644 2220722055 2467468950 2960962740 3701203425 4441444110 4934937900 7402406850 8882888220 11103610275 14804813700 22207220550 44414441100